With this system what is the probability of getting the

Reference no: EM13640536

When an Engineer wants to send a binary signal (a 0 or 1 signal) through a communication channel, assume that there is a 10% chance that the wrong signal is received, that is, if the transmitted signal is a 1, then there is a 10% chance that the signal received is a 0; while if the transmitted signal is 0, then there is a 10% chance that the signal received is a 1.

In order to improve the signal transmission reliability, the signal to be transmitted will be sent five independent times to the receiver. The receiver will then interpret the signal to be a 1 if he/she receives at least three 1's among the five transmissions, while he/she will interpret the signal to be 0 if he/she receives at least three 0's among the five transmissions.

a. With this system, what is the probability of getting the correct signal? [This probability is called the reliability of the communication or transmission system.] Is the probability high enough?

b. Suppose you wanted to achieve at least a 0.999999 reliability for your communication system. Denote by n the odd number of times that you will be transmitting your signal (in the preceding we took n=5), and assume that you will interpret the signal to be a 1 if you receive at least (n+1)/2 1's among the n transmitted signals, and 0 otherwise. What is the appropriate value of n?

Reference no: EM13640536

Questions Cloud

A student studying for a vocabulary test knows the meanings : 1 a student studying for a vocabulary test knows the meanings of 14 words from a list of 20 words. if the test contains

A 30-kg object hangs at one end of a rope that is attached : a 3.0-kg object hangs at one end of a rope that is attached to a support on a railroad car. when the car accelerates to

How many si atoms and how many o atoms are present per : an optical fiber for telecommunications is made of sio2 glass density 2.20 mgm3. how many si atoms and how many o

It takes you 160 x 10-5 j to move a charge between two : it takes you 1.60 x 10-5 j to move a charge between two charged parallel plates with a potential difference of 11.0 v

With this system what is the probability of getting the : when an engineer wants to send a binary signal a 0 or 1 signal through a communication channel assume that there is a

Using correct notation find the probability that a randomly : given a koi population that is 55 male and that 1 out of every 3 males is yellow while only 1 out of every 5 females is

The unit operates adiabatically at steady state the rate of : air at 27 degc 1 atm and 50 relative humidity enters and evaporative cooling unit consisting of a heating section

The driver of a 3000 lb car coasting down a hill sees a : the driver of a 3000 lb car coasting down a hill sees a red light at the bottom and must stop. his speed when he

A rotating fan completes 1200 revolutions every minute : a rotating fan completes 1200 revolutions every minute. consider a point on the tip of a blade at a radius of 0.19 m.a

User Account

All Pages